Please help me my econ homework

Suppose that the total cost function of a firm is given as follows;

TC = 10,000 + 2Q2

(Q2=Q squared)

And the price of the firm's product is determined by the market equilibrium at $400.

a- Find the profit maximizing output level for this firm (3 points).

b- What is the total revenue (3 points)?

c- What is the total cost (3 points)?

d- What is the fixed cost (2 points)

e- What is the profit earned by the firm (3 points)?

f- Does the firm function in short-run or long-run (2 points)? Why (2 points)?